TY - JOUR
T1 - Models of spin-orbit-coupled oligomers
AU - Gligorić, G.
AU - Radosavljević, A.
AU - Petrović, J.
AU - Maluckov, A.
AU - Hadžievski, Lj
AU - Malomed, B. A.
N1 - Funding Information:
The authors acknowledge the support from the Ministry of Education, Science and Technological Development of Republic of Serbia (project III45010). The work of B.A.M. was supported, in part, by Grant No. 2015616 from the joint program in physics between the NSF and Binational (USIsrael) Science Foundation and by Grant No. 1286/17 from the Israel Science Foundation.
PY - 2017/11/1
Y1 - 2017/11/1
N2 - We address the stability and dynamics of eigenmodes in linearly shaped strings (dimers, trimers, tetramers, and pentamers) built of droplets in a binary Bose-Einstein condensate (BEC). The binary BEC is composed of atoms in two pseudo-spin states with attractive interactions, dressed by properly arranged laser fields, which induce the (pseudo-) spin-orbit (SO) coupling. We demonstrate that the SO-coupling terms help to create eigenmodes of particular types in the strings. Dimer, trimer, and pentamer eigenmodes of the linear system, which correspond to the zero eigenvalue (EV, alias chemical potential) extend into the nonlinear ones, keeping an exact analytical form, while tetramers do not admit such a continuation, because the respective spectrum does not contain a zero EV. Stability areas of these modes shrink with the increasing nonlinearity. Besides these modes, other types of nonlinear states, which are produced by the continuation of their linear counterparts corresponding to some nonzero EVs, are found in a numerical form (including ones for the tetramer system). They are stable in nearly entire existence regions in trimer and pentamer systems, but only in a very small area for the tetramers. Similar results are also obtained, but not displayed in detail, for hexa- and septamers.
AB - We address the stability and dynamics of eigenmodes in linearly shaped strings (dimers, trimers, tetramers, and pentamers) built of droplets in a binary Bose-Einstein condensate (BEC). The binary BEC is composed of atoms in two pseudo-spin states with attractive interactions, dressed by properly arranged laser fields, which induce the (pseudo-) spin-orbit (SO) coupling. We demonstrate that the SO-coupling terms help to create eigenmodes of particular types in the strings. Dimer, trimer, and pentamer eigenmodes of the linear system, which correspond to the zero eigenvalue (EV, alias chemical potential) extend into the nonlinear ones, keeping an exact analytical form, while tetramers do not admit such a continuation, because the respective spectrum does not contain a zero EV. Stability areas of these modes shrink with the increasing nonlinearity. Besides these modes, other types of nonlinear states, which are produced by the continuation of their linear counterparts corresponding to some nonzero EVs, are found in a numerical form (including ones for the tetramer system). They are stable in nearly entire existence regions in trimer and pentamer systems, but only in a very small area for the tetramers. Similar results are also obtained, but not displayed in detail, for hexa- and septamers.
UR - http://www.scopus.com/inward/record.url?scp=85033800986&partnerID=8YFLogxK
U2 - 10.1063/1.5000345
DO - 10.1063/1.5000345
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AN - SCOPUS:85033800986
SN - 1054-1500
VL - 27
JO - Chaos
JF - Chaos
IS - 11
M1 - 113102
ER -